Basic Arithmetic and Algebra MCQs – Page 2

Solved Basic Arithmetic and Algebra MCQs: LCM/HCF, fractions, squares and roots, simple equations, simple interest, time and work, and speed.

1. 21

   What is the value of 0.5 × 0.04?

   A0B0.02C0.2D2

   Correct answer: B. 0.02

   5 × 4 = 20, with 1 + 2 = 3 decimal places: 0.020 = 0.02.

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2. 22

   What is the next number in the series 2, 6, 12, 20, 30, …?

   A36B44C42D40

   Correct answer: C. 42

   Differences are 4, 6, 8, 10, so the next difference is 12: 30 + 12 = 42.

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3. 23

   If a = 3 and b = −2, what is the value of a² − 2ab + b²?

   A1B5C13D25

   Correct answer: D. 25

   a² − 2ab + b² = (a − b)² = (3 − (−2))² = 5² = 25.

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4. 24

   Which of these is a prime number?

   A27B29C21D33

   Correct answer: B. 29

   29 has no divisors other than 1 and itself. 21 = 3 × 7, 27 = 3³ and 33 = 3 × 11.

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5. 25

   What is the sum of all natural numbers from 1 to 100?

   A5,000B10,100C5,050D4,950

   Correct answer: C. 5,050

   Sum = n(n + 1) ÷ 2 = 100 × 101 ÷ 2 = 5,050.

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6. 26

   The perimeter of a square is 48 cm. What is its area?

   A144 cm²B192 cm²C48 cm²D96 cm²

   Correct answer: A. 144 cm²

   Side = 48 ÷ 4 = 12 cm. Area = 12 × 12 = 144 cm².

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